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Finding the Fourth Proportional to 578.70, 799.65 and 412.62

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Solution

The fourth proportional to 578.70, 799.65 and 412.62 is: 570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.70 : 799.65 = 412.62 : x
  2. Step 2: Convert to fraction form
    578.70/799.65 = 412.62/x
  3. Step 3: Cross multiply
    578.70x = 799.65 × 412.62
  4. Step 4: Simplify right side
    578.70x = 329,951.58
  5. Step 5: Solve for x
    x = 329,951.58/578.70
  6. Step 6: Final answer
    x = 570.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.